The following vibration system oscillates with a small angle. x = 0.6m, y = 1.8m, k = 18N/m. From the motor: static deflection = 0.2m, forcing frequency = 30 rad/s. If the starting angle from rest is 2 radians (counter-clockwise) and mass A is 10 kilograms, determine: 1. The natural frequency in radians per second. 2. The natural period in second 3. The amplitude of free vibration in meters (reference: neutral position of the spring below), 4. The amplitude of steady-state vibration in meters (reference: neutral position of the spring below) 5. The magnification factor
The following vibration system oscillates with a small angle. x = 0.6m, y = 1.8m, k = 18N/m. From the motor: static deflection = 0.2m, forcing frequency = 30 rad/s. If the starting angle from rest is 2 radians (counter-clockwise) and mass A is 10 kilograms, determine: 1. The natural frequency in radians per second. 2. The natural period in second 3. The amplitude of free vibration in meters (reference: neutral position of the spring below), 4. The amplitude of steady-state vibration in meters (reference: neutral position of the spring below) 5. The magnification factor
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The following vibration system oscillates with a small angle. x = 0.6m, y = 1.8m, k = 18N/m. From the motor: static deflection = 0.2m, forcing frequency = 30 rad/s. If the starting angle from rest is 2 radians (counter-clockwise) and mass A is 10 kilograms, determine:
1. The natural frequency in radians per second.
2. The natural period in second
3. The amplitude of free vibration in meters (reference: neutral position of the spring below),
4. The amplitude of steady-state vibration in meters (reference: neutral position of the spring below)
5. The magnification factor
6. The overall displacement in meters when t= 1 second (reference: neutral position of the spring below).
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VIEWStep 2: (a) Write the equation of motion of the system and determine the natural frequency:
VIEWStep 3: (b) Determine the natural period:
VIEWStep 4: (c) Determine the amplitude of free vibration:
VIEWStep 5: (d) Determine the amplitude of steady-state vibration:
VIEWStep 6: (e) Determine the magnification factor:
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